List of top Mathematics Questions asked in IIITH UGEE

There are rooms numbered from 1 to 99 in an apartment. A mathematician notices that the sum of all room numbers before his room is equal to the sum of all room numbers after his room. Find his room number.

In a group of 50 family members, three medicines are given to fight a virus.
• 40 members received medicine A
• 30 received medicine B
• 20 received medicine C
• 10 received all three medicines How many members received at least two medicines?

Eight points in 3-D space with some pairwise distances known. How many coordinates are required to determine full orientation?

There are 49 houses in a row, numbered consecutively. A scientist finds a magical house number such that the sum of house numbers on its left is equal to the sum on its right. Find the magical house number.

A company adds storage: (2^4) TB (1st month), (2^5) (2nd), (2^6) (3rd)... Total additional storage from 4th to n-th month is:

6 years ago, (alpha) was three times (beta). 8 years from now, (beta) is one-third of (gamma). If present age of (gamma) is (s), find present age of (alpha).

Houses are numbered from 1 to 49. Find the house number such that the sum of numbers before it equals the sum after it.

In a company hierarchy: begin{itemize
• 1 CEO at the top
• Below him are 2 senior managers
• Below them are some normal workers If the total number of people excluding the CEO is 14, and the lowest level has 8 workers, what fraction of the total workforce are normal workers?}

An elliptical arch of a bridge has a horizontal span of 50 ft and a maximum height of 20 ft at the center. The bridge road is constructed 4 ft above the highest point of the arch.
If a point on the arch is 15 ft away from the center horizontally, find the vertical distance of this point from the bridge road.

Explain the concept of a limit. Why is it important in calculus?

Find the equation of the tangent line to the curve \( y = x^2 - 3x + 2 \) at the point \( (1, 0) \).

You are given a sequence of numbers: 2, 5, 10, 17, ... Identify the pattern and find the next three terms in the sequence. Can you express the nth term of this sequence in a general formula?

The function \( f(x) \) is defined as follows: \[ f(x) = \begin{cases} 2+x, & \text{if } x \geq 0 \\ 2-x, & \text{if } x \leq 0 \end{cases} \] Then function \( f(x) \) at \( x=0 \) is:

Consider a group of 20 people. If everyone shakes hands with everyone else, how many handshakes take place?

A system consists of N particles, interacting with each other (for example, protein molecules). Which one of the following statements is FALSE?

Three pipes A, B, and C can fill a tank in 6 hrs. After working at it together for 2 hrs, C is closed and A and B can fill the remaining part in 7 hrs. The total number of hours taken by C alone to fill the tank is

Choose the correct alternative that will continue the same pattern and fill in the blank spaces. 2, 7, 14, 23, —–, 47

If log2 = 0.30103 and log3 = 0.4771, find the number of digits in (648)\(^5\).

How many solutions are there to the equation \(x_1 + x_2 + x_3 + x_4 = 17\), where \(x_1, x_2, x_3, x_4\) are nonnegative integers?

A pair of fair dice is rolled. What is the probability that the second die lands on a higher value than the first?

This question is based on the below graph: Which number below represents the area of the shaded curve to the closest value?

Explain the concept of a limit. Why is it important in calculus?

Find the equation of the tangent line to the curve \( y = x^2 - 3x + 2 \) at the point \( (1, 0) \).

You are given a sequence of numbers: 2, 5, 10, 17, ... Identify the pattern and find the next three terms in the sequence. Can you express the nth term of this sequence in a general formula?